Geodesic
Asymptotics of the parabolic Green function for an elliptic operator on a manifold with conical points
Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 28-36

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We construct the asymptotics as $t\to0$ of the trace of the operator $\exp(-tP)$ for an elliptic operator $P$ on a manifold with conical points. 
@article{MZM_1998_63_1_a3,
     author = {A. I. Karol'},
     title = {Asymptotics of the parabolic {Green} function for an elliptic operator on a manifold with conical points},
     journal = {Matemati\v{c}eskie zametki},
     pages = {28--36},
     publisher = {mathdoc},
     volume = {63},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a3/}
}
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A. I. Karol'. Asymptotics of the parabolic Green function for an elliptic operator on a manifold with conical points. Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 28-36. http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a3/